RATIO AND PROPORTION
CLASS
ASSIGNMENT
1.
A:B=5:7 and B:C=7:12 then A:B:C=?
a) 5:12:7
b) 5:7:12
c) 7:5:12 d)
none
2.
A:B=3:5 and B:C=10:7.Then A:B:C=?
a) 3:5:7 b) 3:10:7
c) 6:10:7
d) 6:10:14
3.
A:B=4:5 And B:C=2:3 Then A:B:C=?
a) 8:10:15 b)
8:15:10
c) 10:15:8 d)
15:10:8
4.
A:B=2:3, B:C=5:9 And C:D=6:7 then A:B:C:D=?
a) 20:30:63:54 b)
20:54:30:63
c) 20:30:54:63 d)
63:54:30:20
5.
A:B=3:4, B:C=3:5, C:D=2:3 then
A:B:C:D=?
a) 9:12:20:30 b) 20:12:9:30
c)
12:20:9:30 d) 20:9:30:12
6.
A:B=2:3, B:C=4:7 and C:D=3:5 then
a)
A:C=?
a) 5:21 b) 6:21
c) 7:21 d)
8:21
b)
A:D=?
a) 8:35 b) 9:35
c) 10:35 d) 11:35
c)
B:D=?
a) 35:12 b)
12:35
c) 12:23 d)
23:12
7. A:B=3:4,
B:C=2:7 and C:D=5:2 then
?
a)
b)
c)
d)
8. A:B=3:2,
B:C=4:3 and C:D=7:5 then
?
a)
b)
c)
d)
9.
5A=2B then A:B=?
a)
5:2 b)
7:2
c)
7:3 d)
2:5
10. 10A=3B
then A:B=?
a)
10:3 b)
3:10
c)
7:3 d)
10:13
11. 3A=2B=4C
then A:B:C=?
a)
6:3:4 b)
4:6:3
c)
4:3:6 d)
4:2:3
12. 24A=6B=18C
then A:B:C=?
a)
3:12:4 b) 12:3:4
c)
4:12:3 d)
12:4:3
13. A:B=
then A:B=?
a)
2:3 b)
3:2
c)
4:7 d)
9:4
14. A:B:C=
, then A:B:C=?
a)
4:6:3 b)
4:3:2
c)
6:3:4 d)
6:4:3
15. If
, then
is
a)
b)
c)
d)
can’t say
16. A
sum of money Rs.4200 is distributed among Amar and Madan in 9:5. What is the
part of Madan?
a)
1050 b)
1500
c)
1005 d) 5100
17. Madhuri
Dixit and Shri Devi invest together a sum of money Rs.66300 in a mutual fund
company in the ratio 4:9. What is the sum of money invested by Madhuri Dixit?
a)
40200 b)
45000
c)
20200
d) 20400
18. If
a sum of Rs.4410 is distributed among Sunny, Boby and Dharmendra in ratio 3:7:8
respectively. What is the part of Sunny?
a)
1545 b)
1740
c)
745 d)
735
19. If
ratio of Ram and Shayam’s salary is 9:13 and ratio between Shayam and Mohan’s
is 4:7. Then what is the ratio of Ram, Shayam and Mohan salary?
a)
36:91:52 b)
36:52:91
c)
52:36:91 d)
can’t say
20. If
the ratio of the income of Sachin and Dravid, Dravid and Ganguly, Ganguly and
Anil is 1:2, 2:3 and 5:6 respectively. If the sum of their income is Rs.9600.
What is the income of Sachin?
a)
1200 b) 1300
c)
1100 d)
1000
21. In
a school the ratio of boys and girls is 3:2 and boy are 500 more than girls.
Find the no. of girls.
a)
1000
b) 200
c)
1100 d)
1050
22. In
a district the ratio of aspirants of SSC and BANK PO is 5:3. If SSC aspirants
are 8000 more than BANK PO aspirants, then no. of aspirants of BANK PO is.
a)
10200 b) 12000
c)
10000 d) 10020
23. The
ratio of expenditure and saving of a person is 5:4. If the total expenditure is
800 more than total saving then his income is.
a)
7000 b)
7220
c)
7200 d)
2700
24. If
sum of money distributed among three friends P, Q and R is in ratio 2:5:7. If
the share of P and R is Rs.800 more than Q’s share. What is share of P?
a)
400 b)
500
c)
350 d)
450
25. A
sum of money distributed among A,B and C in the ratio 3:7:5 respectively. If
difference of A and B is Rs.7600 then what is the share of C?
a)
8500 b)
7500
c)
9500 d)
9000
26. A
bag contained 50, 20 Rs. and 5 RS. Notes in the ratio 4:5:6. The total sum of
money in the bag is Rs.3300. find the no of 50 Rs. Notes in the bag?
a)
40 b)
30
c)
35 d)
42
27. A
man have Rs.235 in the form of Re 1, 50 paisa and 25 paisa coins and their
ratio is 11:15:20 respectively. Find the value of all 50 paisa coins in rupees?
a)
75 b)
140
c)
300 d)
150
28. A
man has Rs.152 in his pocket comprised of 50, 25 and 10 paisa coins and their
ratio is 7:10:16. Find the value of all 10 paisa coins?
a)
23 b)
32
c)
20 d)
30
29. In
a class the ratio of boys and girls is 2:3. If 10 boys as well as10 girls
enrolled as new students then the ratio becomes 4:5. Find the no. of girls in
the class.
a)
32 b)
30
c)
40 d)
25
30. The
ratio of two numbers is 5:8. If 15 is subtracted from each number than the
ratio becomes 2:5. Find the 1st number?
a)
52 b)
25
c)
10 d)
45
31. The
ratio of area of two spheres is 25:36. Then what is the ratio of its volume?
a)
5:6 b)
625:1296
c)
125:216 d)
25:36
32. What
is the ratio of the volume of ball if its area ratio is 0.04:0.25?
a)
0.008:0.125 b)
0.08:0.125
c)
80:125 d)
80:125
33. If
the ratio of volume of two spheres is 343:125. What is the ratio of area?
a)
49:125 b)
49:25
c)
48:25 d)
36:49
34. ?:4::48:16
a)
12 b)
13
c)
14 d)
15
35. 10:?::24:36
a)
10 b)
11
c)
15 d)
14
36. 16:28::?:42
a)
24 b)
23
c)
22 d)
21
37.
a)
b)
c)
d)
1
38. Find
the 3rd proportional to5, 3 and 12.
a)
5 b)
10
c)
20 d)
40
39. Find
the 4th proportional to 7, 14 and5.
a)
10 b)
5
c)
7 d)
20
40. A,
B and C are in continued proportion. Find C if A=9 and B=6.
a)
2 b) 4
c)
8 d) 3
41. If
two nos. are 4 and 8, the 1st proportional to these nos. is
a)
6 b)
2
c)
4 d)
3
42. Find
the mean proportional of 0.4 and 0.9.
a)
6 b)
0.006
c)
0.6 d)
60
43. What
is the 3rd proportional of nos. 4 and 48?
a)
675 b) 476
c)
576 d) 586
44. What
should be added in 41, 51, 50 and 62 so that they become proportionate?
a)
8 b) 6
c)
4 d) 2
45. 63,
71, 80 and 90 are four numbers, then what should be added in these numbers to
make them in proportion?
a)
6 b) 5
c)
4 d) 2
46. To
make proportionate what should be subtracted from 20, 32, 40 and 67?
a)
5 b) 3
c)
4 d) 2
47. What
should be subtracted from these numbers 31, 51, 25 and 40 respectively so that
they become in proportion?
a)
9 b) 8
c)
7 d) 6
HOME ASSIGNMENT
48.
If
, then what is
a)
35:45:21 b)
21:45:35
c)
45:35:12 d)
none
49.
If
and
, then
, is equal to:
a) 3:2:1 b)
1:2:6
c) 1:3:6 d)
2:4:6
50.
If
is:
a) 4:6:7:9 b) 16:24:30:35
c) 8:12:15:7 d) 30:35:24:16
51.
A:B=3:4 and B:C=5:7 and C:D=8:9
then A:D is equal to
a)
3:7 b)
7:3
c)
21:10 d) 10:21
52. If
and
, then
is:
a) 20:38 b) 50:147
c) 10:21 d) 50:151
53. If
then
is
equal to
a) 1:3 b) 1:2
c) 2:3 d) 3:2
54. If
then
is
not equal to
a)
b)
c)
d)
55. If
then the ratio
is
equal to
a) 2:1 b) 14:3
c) 7:2 d) 1:2
56. If
then ratio
is
equal to
a) 8:9:16 b) 8:9:12
c) 8:9:24 d) 4:9:16
57. If
, then
a) 13:14 b) 14:13
c) 10:11 d) 11:10
58. If
two times of A is equal to three times of B and also equal to four times of C,
then A:B:C is
a) 2:3:4 b) 3:4:3
c) 4:6:3 d) 6:4:3
59. Three
persons A, B and C whose salaries together amounts to Rs.77000 spend 80, 85 and
75 percent of their salaries respectively. If their savings are in the ratio
8:9:10, then A’s salary is
a) 20000 b) 16000
c) 22000 d) 18000
60. Three
numbers are in the ratio
. The difference between the greatest and
the smallest numbers is 36. The numbers are
a) 72, 84, 108 b) 60, 72, 96
c) 72, 84, 96 d) 72, 96, 108
61. By
mistake, instead of dividing Rs.117 among A, B and C in the ratio
it
was divided in the ratio 2:3:4. Who gains the most and by how much?
a) A, Rs.28 b) B, Rs.3
c) C, Rs.20 d) C, Rs.25
62. A
person distributes his pen among four friends A, B, C, D in the ratio
. What is the minimum number of pens that
the person should have?
a) 57 b) 65
c) 75 d) 45
63. Twice
the square of a number is six times the other number. What is the ratio between
the first number and the second number?
a) 1:4 b) 2:5
c) 1:3 d) can’t say
e) None of these
64. In
a school, the ratio of boys to girls is 4:3 and the ratio of girls to teachers
is 8:1. The ratio of students to teachers is:
a) 56:3 b) 55:1
c) 49:3 d) 56:1
65. A,
B and C are batsmen. The ratio of runs scored by them in a certain match are
given below:
A:B=5:3 and
B:C=4:5. In all they scored 564 runs. The number of runs scored by B is
a) 124 b) 104
c) 114 d) 144
66. The
sum of three numbers is 116. The ratio of second to the third is 9:16 and the
first to the third is 1:4. The second number is
a) 30 b) 32
c) 34 d) 36
67. Rs.3400
is divided among A, B, C and D in such a way that the share of A and B, B and
C, C and D may be as 2:3, 4:3 and 2:3 respectively. The sum of shares of B and
D is
a) 2040 b) 1680
c) 2000 d) 1720
68. Three
numbers are in ratio 2:3:4. If the sum of their squares is 1856, then the
numbers are
a) 8, 12 and 16
b) 16, 24 and 32
c) 12, 18 and 24
d) None of the
above
69. The
ratio of two numbers is 3:8 and their difference is 115. The smaller of two
numbers is
a) 184 b) 194
c) 69 d) 59
70. If
a number is divided by the other number, the division is
, if their difference is 28, what is the
bigger number of the two?
a) 35 b) 140
c) 70 d) 84
e) 42
71. Four
numbers are in the ratio 1:2:3:4. Their sum is 16. The sum of first and fourth
number is equal to:
a) 5 b) 8
c) 10 d) 80
72. The
ratio of two numbers is 10:7 and their difference is 105. The sum of these
numbers is
a) 595 b) 805
c) 1190 d) 1610
73. The
product of two positive integers is 1575 and their ratio is 9:7. The smaller
integer is
a) 25 b) 35
c) 45 d) 70
74. Three
numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals
the sum of the second and 52. The smallest number is
a) 20 b) 27
c) 39 d) 52
75. The
monthly salaries of A, B and C are in the ratio 2:3:5. If C’s monthly salary is
Rs.12000 more than that of A, then B’s annual salary is
a) 1,20,000 b) 1,44,000
c) 1,80,000 d) 2,40,000
76. The
average of two numbers is 62. If 2 is added to the smallest number, the ratio
between the numbers becomes 1:2. The difference of the numbers is
a) 62 b) 40
c) 84 d) 44
77. If
the sum of two quantities is equal to three times their difference, then the ratio
of the two quantities is equal to
a) 1:3 b) 3:1
c) 2:1 d) 2:3
78. The
incomes of A, B and C are in the ratio 3:7:4 and the expenses in the ratio
4:3:5. If A saves Rs.300 out of an income of Rs.2400, the savings of B and C
are:
a) 4025 and 575
b) 1575 and 2625
c) 2750 and 1525
d) 3725 and 1525
79. The
income of A and B are in the ratio 5:3. The expenses of A, B and C are in the
ratio 8:5:2. If C spends Rs.2000 and B saves rs.700, then A saves
a) 1500 b) 1000
c) 500 d) 250
80. The
sum of ages of a father and his son is 100 years now. 5 years ago their ages
were in the ratio of 2:1. The ratio of the ages of father and son after 10
years will be
a) 5:3 b) 4:3
c) 10:7 d) 3:5
81. The
ratio of incomes of A and B as well as of B and C is 3:2. If one third of A’s
income exceeds one fourth of C’s income by Rs.1000, what is B’s income in Rs.?
a) 3000 b) 2500
c) 3500 d) 4000
82. A
man has Rs.152 in his pocket comprised of 50, 25 and 10 paisa coins and their
ratio is 7:10:16. Find the value of all 10 paisa coins?
a)
23 b) 32
c)
20 d) 30
83. Rs.180
contained in a box consists of one rupee, 50 paise and 25 paise coins in the
ratio 2:3:4. What is the number of 50 paise coins?
a) 60 b) 120
c) 150 d) 180
84. A
person bought some rice and wheat for Rs.380. The ratio of weight of rice and
wheat is 4:3 and the price of equal amount of rice and wheat is in the ratio
5:6. The rice was bought of worth
a) 380 b) 300
c) 200 d) 180
85. The
ratio between two numbers is 3:4. If each number is increased by 6, the ratio
becomes 4:5. The difference between the numbers is
a) 1 b) 3
c) 6 d) 8
86. What
number should be subtracted from both terms of ratio 15:19 in order to make it
3:4?
a) 9 b) 6
c) 5 d) 3
87. Two
numbers are in the ratio 5:7. On diminishing each of them by 40, they become in
the ratio 17:27. The difference of the numbers is
a) 18 b) 52
c) 137 d) 50
88. The
ratio of boys and girls in a college is 5:3. If 50 boys leave the college and
50 girls join the college, the ratio becomes 9:7. The number of boys in the
college is
a) 300 b)
400
c) 500 d) 600
89. To
get the ratio
, one has to add to each term of the
ratio
, the number
a)
b)
c)
d)
90. At
present, the ratio of the ages of Maya and Chhaya is 6:5 and fifteen years from
now, the ratio will get changed to 9:8. Maya’s present age is
a) 21 b) 24
c) 30 d) 40
91. The
ratio of present ages of two brothers is 1:2 and 5 years back the ratio was
1:3. What will be the ratio of their ages after 5 years?
a) 1:4 b) 2:3
c) 3:5 d) 5:6
92. Four
years ago, the ratio of A’s age to B’s age was 11:14 and four years later their
ages will be in the ratio 13:16. The present age of A is
a) 48 b) 26
c) 44 d) 28
93. The
students in three classes are in the ratio 2:3:5. If 40 students are increased
in each class, the ratio changes to 4:5:7. Originally, the total number of
students was:
a) 100 b) 180
c) 200 d) 400
94. The
number of students in three classes are in the ratio 2:3:4. If 12 students are
increased in each class, this ratio changes to 8:11:14. The total number of
students in the three classes in the beginning was
a) 162 b) 108
c) 96 d) 54
95. The
ratio of number of boys to that of girls in a group becomes 2:1 when 15 girls
leave. But afterwards, when 45 boys also leave, the ratio becomes 1:5.
Originally the number of girls in the group was
a) 20 b) 30
c) 40 d) 50
96. The
ratio of number of ladies to that of gents at a party was 3:2. When 20 more
gents joined the party, the ratio was reversed. The number of ladies present at
the party was
a) 36 b) 32
c)
24 d) 16
97. The
total number of students of a school was 660. The ratio between boys and girls
was 13:9. After some days, 30 girls joined the school and some boys left the
school and new ratio between boys and girls became 6:5. The number of boys who
left the school is:
a) 50 b) 40
c) 30 d) 60
98. Zinc
and copper are in the ratio of 5:3 in 200 gm of an alloy. How much grams of
copper be added to make the ratio as 3:5?
a) 133
b)
c) 72 d) 66
99. In
30 litres mixture of acid, the ratio of acid and water is 2:3. What amount of
water should be added to the mixture so that the ratio of acid and water
becomes 2:5?
a) 10 b) 15
c) 18 d) 12
100. The
ratio between a two-digit number and the sum of the digits of that number is
4:1. If the digit in the unit’s place is 3 more than the digit in the ten’s
place, the number is
a) 47 b) 69
c) 36 d) 25
101. 94
is divided into two parts in such a way that the fifth part of the first and
the eighth part of the second are in the ratio 3:4. The first part is:
a) 30 b) 36
c) 40 d) 28
102. Divide
Rs.1250 among A, B and C so that A gets
of
B’s share and C gets
of
A’s share.
a) 200, 800 and 250
b) 200, 900 and 150
c) 150, 800 and 300
d) 200, 900 and 75
103. The
ratio of number of balls in bags
is 2:3. Five balls are taken from bag
and are dropped in bag
. Number of balls are equal in each
bag now. Number of balls in each bag now is
a) 45 b) 20
c) 30 d) 25
104. The
annual incomes of A and B are in the ratio 4:3 and the ratio of their
expenditures is 3:2. If each of them saves Rs.600 in the year, the annual
income of A is
a) 4800 b) 1800
c) 1200 d) 2400
105. The
4th proportional to 0.12, 0.21, 8 is:
a)
8.9 b)
56
c)
14 d)
17
106. The
third proportional of 12 and 18 is
a) 3 b) 6
c) 27 d) 144
107. The
third proportional to 0.8 and 0.2 is:
a) 0.05 b) 0.8
c) 0.4 d) 0.032
108. If
is the mean proportion of
and
, then
equals
a)
b)
c)
d)
109. What
number should be added to each of 6, 14, 18 and 38 so that the resulting
numbers make a proportion?
a)
1 b) 2
c)
3 d) 4
110. Which
number when added to each of the numbers 6,7,15 and 17 will make the resulting
numbers proportional?
a)
6 b) 5
c)
4 d) 3
111. When
a particular number is subtracted from each of 7,9,11 and 15, the resulting
number are in proportion. The number to be subtracted is
a)
1 b) 2
c)
3 d) 5
112. What
should be subtracted from these numbers 31, 51, 25 and 40 respectively so that
they become in proportion?
a)
9 b) 8
c)
7 d) 6
Answer
key:
|
1.b
|
2.c
|
3.a
|
4.c
|
6a.a
|
|
6b.a
|
6c.b
|
7.d
|
8.b
|
9.d
|
|
10.b
|
11.b
|
12.a
|
13.b
|
14.d
|
|
15.b
|
16.b
|
17.d
|
18.d
|
19.b
|
|
20.d
|
21.a
|
22.b
|
23.c
|
24.a
|
|
25.c
|
26.a
|
27.a
|
28.b
|
29.d
|
|
30.b
|
31.c
|
32.a
|
33.b
|
34.a
|
|
35.c
|
36.a
|
37.c
|
38.c
|
39.a
|
|
40.b
|
41.b
|
42.c
|
43.c
|
44.c
|
|
45.b
|
46.c
|
47.c
|
|
|
|
48. a
|
49. c
|
50. b
|
51. d
|
52. b
|
|
53. c
|
54. d
|
55. a
|
56. c
|
57. a
|
|
58. d
|
59. c
|
60. d
|
61. a
|
62. a
|
|
63. d
|
64. a
|
65. d
|
66. d
|
67. d
|
|
68. b
|
69. c
|
70. c
|
71. b
|
72. a
|
|
73. b
|
74. c
|
75. b
|
76. d
|
77. c
|
|
78. a
|
79. a
|
80. a
|
81. a
|
82. b
|
|
83. b
|
84. c
|
85. c
|
86. d
|
87. d
|
|
88. c
|
89. b
|
90. c
|
91. c
|
92. a
|
|
93. d
|
94. a
|
95. c
|
96. c
|
97. c
|
|
98. a
|
99. d
|
100. c
|
101. a
|
102. b
|
|
103. d
|
104. d
|
105. c
|
106. c
|
107. a
|
|
108. d
|
109. b
|
110. d
|
111. c
|
112. c
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